Find the common difference of the A.P. and write the next two terms:$51, 59, 67, 75, …….$


Given:

Given A.P. is $51, 59, 67, 75, …….$.

To do:

We have to find the common difference and write the next two terms of the given A.P.

Solution: 

 The common difference of an A.P. is the difference between any two consecutive terms.

Here,

$a_1=51, a_2=59, a_3=67, a_4=75$

$d=a_2-a_1=59-51=8$

$a_5=a_4+d=75+8=83$

$a_6=a_5+d=83+8=91$

The common difference of the given A.P. is $8$ and the next two terms are $83$ and $91$. 

Updated on: 10-Oct-2022

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